The city is letting beer leagues boot high-school baseball players from public diamonds in Central Park — often in the middle of an inning, frustrated parents and players told The Post.

“To have an inning or two cut short really just demoralizes the team,” said Sean Kauffman, closer for the LaGuardia HS of Music & Art. “It’s basically saying, ‘Oh, you guys are going to lose — it doesn’t matter.’ ”

Permit-paying amateur leaguers wait in the wings while LaGuardia plays.J.C.Rice

LaGuardia doesn’t have a field on its Upper West Side campus, so it uses the park as its home base. Its varsity baseball squad receives a free permit from 4 p.m. to 6 p.m. from the city to play its seven-inning games on one of the park’s 26 baseball or softball diamonds.

Space is limited. The school shares the diamond in the North Meadow with amateur leagues from around the city that pay $12.50 an hour per team for a permit.

That leaves teams such as LaGuardia’s hitting the bricks before many of their games have been decided.

Games are made up only if they do not extend past either the bottom of the fourth, if the home team is up, or the fifth inning, if the home team is trailing — which doesn’t sit well with players on the struggling 5-9 club who believe it ain’t over till it’s over.

“There’s always a way to come back, because that’s baseball,” said LaGuardia player Thomas Fennell.

So far this year, two of the team’s games this season have been suspended, said LaGuardia manager Robert O’Connor.

“They are obviously trying to make more money,” Villarini said.

The Parks Department says youth leagues are given preference.

“We do our best to accommodate all school groups,” spokeswoman Tara Kiernan said.

But beer leaguers balked at the complaints.

“We are always waiting on the kids to play,” said Dave Block, suited up in a Mutual of America jersey. “We get our permit for just an hour. If we don’t finish our game by 7, we don’t boo and cry.”